Search a number
-
+
21121322500660 = 22529119330524789
BaseRepresentation
bin1001100110101101100001…
…11011001100001000110100
32202210011211021120112111011
410303112300323030020310
510232022432030010120
6112531000202522004
74306652030016244
oct463266073141064
982704737515434
1021121322500660
116803558a133a8
122451554206304
13ba296974c2b5
145303c5507b24
15269632739c5a
hex1335b0ecc234

21121322500660 has 48 divisors (see below), whose sum is σ = 45922715067600. Its totient is φ = 8150362594304.

The previous prime is 21121322500591. The next prime is 21121322500667. The reversal of 21121322500660 is 6600522312112.

It can be written as a sum of positive squares in 8 ways, for example, as 1148896721956 + 19972425778704 = 1071866^2 + 4469052^2 .

It is a super-2 number, since 2×211213225006602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121322500667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14570455 + ... + 15954334.

It is an arithmetic number, because the mean of its divisors is an integer number (956723230575).

Almost surely, 221121322500660 is an apocalyptic number.

21121322500660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121322500660 is an abundant number, since it is smaller than the sum of its proper divisors (24801392566940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21121322500660 is a wasteful number, since it uses less digits than its factorization.

21121322500660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30526020 (or 30526018 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 21121322500660 its reverse (6600522312112), we get a palindrome (27721844812772).

The spelling of 21121322500660 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred twenty-two million, five hundred thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1193 2386 4772 5965 11930 23860 34597 69194 138388 172985 345970 691940 30524789 61049578 122099156 152623945 305247890 610495780 885218881 1770437762 3540875524 4426094405 8852188810 17704377620 36416073277 72832146554 145664293108 182080366385 364160732770 728321465540 1056066125033 2112132250066 4224264500132 5280330625165 10560661250330 21121322500660